One might think, but no. If you swing like you should, there's just a puff of air over their heads and they kinda look around like "Hey, did you see something?"
Seriously, do a little batting practice with a ball, then just walk up to them (don't creep or sneak) and WOOSH. No up and down, no hesitation, no "Oh, I'm gonna hurt it..." (Which is the most certain way to hurt something) just same as you would to the baseball. You'll either obliterate it = instant, painless death, or gently ruffle it's feathers with a breeze.